So I've just found THIS thread that resumes how CoC has changed over the years.
TLDR, starting skill points has crept steadily upward:
1st Edition: 180 Skill Points (130 for Professional Skills and 50 for Personal Skills).
3rd Edition: 260 Skill Points (195 for Professional Skills and 65 for Personal Skills).
6th Edition: 390 Skill Points (260 for Professional Skills and 130 for Personal Skills).
7th Edition: Same as 6th Edition on average, although determined differently.
I think the last edition I played was 3E, and we were utterly useless and bumbling, so I don't think this will be a deal breaker.